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Finding the Fourth Proportional to 242,442.82, 363,719.34 and 73,978.24

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Solution

The fourth proportional to 242,442.82, 363,719.34 and 73,978.24 is: 110,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,442.82 : 363,719.34 = 73,978.24 : x
  2. Step 2: Convert to fraction form
    242,442.82/363,719.34 = 73,978.24/x
  3. Step 3: Cross multiply
    242,442.82x = 363,719.34 × 73,978.24
  4. Step 4: Simplify right side
    242,442.82x = 26,907,316,627.16
  5. Step 5: Solve for x
    x = 26,907,316,627.16/242,442.82
  6. Step 6: Final answer
    x = 110,984.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.